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Finding the Fourth Proportional to 383,789.62, 575,687.40 and 147,075.76

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Solution

The fourth proportional to 383,789.62, 575,687.40 and 147,075.76 is: 220,614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,789.62 : 575,687.40 = 147,075.76 : x
  2. Step 2: Convert to fraction form
    383,789.62/575,687.40 = 147,075.76/x
  3. Step 3: Cross multiply
    383,789.62x = 575,687.40 × 147,075.76
  4. Step 4: Simplify right side
    383,789.62x = 84,669,661,877.42
  5. Step 5: Solve for x
    x = 84,669,661,877.42/383,789.62
  6. Step 6: Final answer
    x = 220,614.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.